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How do you simplify #sqrt21*sqrt24#?

Answer 1

Isaiah Anthony

#6sqrt14#

#"using the "color(blue)"law of radicals"#

#•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)#

#"simplifying "sqrt24=sqrt(4xx6)=sqrt4xxsqrt6=2sqrt6#

#rArrsqrt21xx2sqrt6=2sqrt126#

#=2sqrt(9xx14)=2(sqrt9xxsqrt14)=2(3sqrt14)=6sqrt14#

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Answer 2

Kennedy Adams

#\sqrt(21)*\sqrt(24)=6*\sqrt(14)#

#\sqrt(21)*\sqrt(24)=# #=\sqrt(21*24)=\sqrt(3*7*3*8)=\sqrt(3^2*7*2*2^2)=# #=3*2*\sqrt(2*7)=6*\sqrt(14)#

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Answer 3

Eva Adamson

To simplify sqrt21 * sqrt24, you can multiply the numbers inside the square roots together. The product of 21 and 24 is 504. Therefore, sqrt21 * sqrt24 simplifies to sqrt504.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.